5. Trigonometric Functions

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Without using a calculator, determine all values of A in the interval $[0,\frac{\pi }{2})$ with the following trigonometric function value.

$\(\cos\) A=\(\frac{\sqrt3}{2}\)$

Without using a calculator, determine all values of P in the interval $[0°,90°)$ with the following trigonometric function value.

$\(\csc\) P=\(\sqrt\)2$

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).